No. The sides MUST be straight lines.
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well a polygon has angles and a curve has none.
No, all the sides of a polygon must be straight lines.
In order to plot the points on either the frequency polygon or curve, the mid values of the class intervals of the distribution are calculated. Then the frequencies with respect to the mid points are plotted. However in a frequency curve the points are joined by a smooth curve, where as in a frequency polygon the points are joined by straight lines. Apart from this major difference, a frequency polygon is a closed figure where as the frequency curve is not.
A frequency curve is a graph obtained by joining the points of a frequency polygon freehand smoothly.
There is no mathematical limit to the number of sides that a polygon can have. As the number of sides increases the polygon will become more and more like a closed curve - a regular polygon will become like a circle. The size of the polygon and accuracy of measurement will determine when it is no longer possible to distinguish between the polygon and the curve. Nevertheless, the two shapes will be mathematically different objects.